Elementary Differential Equations with Linear Algebra 3rd Edition
By Albert L. Rabenstein (Auth.)

Designed for use by sophomore engineering or junior physical science majors, this text is suitable for an introductory course in linear algebra and differential equations or a course in differential equations with a linear algebra prerequisite. This text contains detailed coverage of applied topics and includes theorems specifically applicable to engineering students. There is a new chapter on "Stability and the Phase Plane", approximately 300 new problems added throughout and several BASIC programs on numerical solutions of differential equations are included.
 
Table Of contents : 

    Elementary Differential Equations with Linear Algebra
    Copyright Page
    Table of Contents
    Preface
    Chapter 1. Introduction to Differential Equations
    Chapter 2. Matrices and Determinants
    Chapter 3. Vector Spaces and Linear Transformations
    Chapter 4. Characteristic Values
    Chapter 5. Linear Differential Equations
    Chapter 6. Systems of Differential Equations
    Chapter 7. Series Solutions
    Chapter 8. Numerical Methods
    Chapter 9. Laplace Transforms
    References
    Answers to Selected Exercises
    Index